Home
Class 12
MATHS
If the truth value of the statement p to...

If the truth value of the statement `p to (~q vee r)` is false (F), then the truth values of the statements p,q and r are respectively

A

T,F,F

B

T,F,T

C

F,T,T

D

T,T,F

Text Solution

Verified by Experts

The correct Answer is:
D
`Prarr(-q vvr)" "rArr" P is T and "~qvvr" is now "~qvv r" "rArr" "~" is False and r is also"`
False.
`therefore" "`q is Tru r is False.
So, TTF is truth values of `p_(1) q_(1)r_(1)` respectively.
Promotional Banner

Similar Questions

Explore conceptually related problems

If p to (qvvr) is false, then the truth values of p,q, and r are, respectively.

if p implies(q ^^ r) is false, then the truth values of p, q and r are respectively

If pto(q ^^ r) is false, then the truth values of p,q and r are respectively

If p to (q vv r) is false, then the truth values of p,q,r are respectively

If pto(ptoq) is false, then the truth values of p and q are respectively

If pto(~pvvq) is false, then the truth values of p and q are respectively

If p rarr (~p vv ~q) is false, then the truth values of p and q are respectively.

The dual of the statement [p vee (-q) vee(-p) is

If (p^^~r) to (~p vvq) is false, then truth values of p,q and r are respectively.